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How many distinct vectors (x1 , x2 , ..., xr ) can satisfy the constraints. Example: 8 identical blackboards are to be divided among 4 schools. Q (a): How many divisions are possible? Q (b): How many, if each school must receive at least 1 blackboard? From a group of 8 women and 6 men a committee consisting of 3 men and 3 women is to be formed. (a): How many different committees are possible? (b): How many, if 2 of the men refuse to serve together? (c): How many, if 2 of the women refuse to serve together? (d): How many, if 1 man and 1 woman refuse to serve together? Solution: (a): How many different committees are possible? = 56 (b): How many, if 2 of the men refuse to serve together? = 56 (c): How many, if 2 of the women refuse to serve together? = 50 (d): How many, if 1 man and 1 woman refuse to serve together?
The manufacture of a new compact car claims the miles per gallon (mpg) for the gasoline consumption follow a normal distribution with mean of 25.9 mpg and standard deviation of 9.5 mpg . if 36 such cars are tested , what is the probability the ave..
A 90% confidence interval estimate for a population mean was computed to be (38.2, 59.4). Determine the mean of the sample, which was used to determine the interval estimate.
Is the GPA of this year's students significantly different from the long-run average? At what alpha level would it be significant?
Microsoft Excel was used on a set of data involving the number of parasites found on 46 Monarch butterflies captured in Pismo Beach State Park.
Use the 5% level of significance. (a) Define null and alternate hypotheses. (b) Determine the value of sample test statistic? (c) Determine(or estimate) P-value.
The ages of cars owned by all employees of a large company have a bell shaped distribution with a mean of 8 years and a standard deviation of 2 years. Using the empirical rule, find the approx. percentage of cars (owned by those employees) that are b..
Compute the value of the proportion of the population.
Find the critical value z that corresponds to the given confidence level of 90%.
The number of viewers of American Idol has a mean of 33 million with a standard deviation of 10 million. What is the probability that next week's show will: Have between 37 and 44 million viewers?
Use Wilcoxon rank-sum test to test at the .10 level of significance to test the claim that the difference in dosage have significant effect on the length of time it takes guinea pigs to fall asleep.
On randomly selected day, let X and Y, respectively, be proportions of time that the drive-in and walk-in facilities are in use. Determine the marginal density of X.
Test the claim of the brewery about the mean volume equal to 32 oz. at the 0.05 significance level. It's your choice whether to use z or t.
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